Search a number
-
+
22121301330 = 23252326634013
BaseRepresentation
bin10100100110100010…
…000100010101010010
32010002200010112121200
4110212202010111102
5330301023120310
614055024132030
71412120646612
oct244642042522
963080115550
1022121301330
119421997117
124354467016
13211701331b
1410dbd18a42
158970de9c0
hex526884552

22121301330 has 96 divisors (see below), whose sum is σ = 60053550336. Its totient is φ = 5639010432.

The previous prime is 22121301311. The next prime is 22121301343. The reversal of 22121301330 is 3310312122.

22121301330 is a `hidden beast` number, since 22 + 12 + 1 + 301 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5510404 + ... + 5514416.

It is an arithmetic number, because the mean of its divisors is an integer number (625557816).

Almost surely, 222121301330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30026775168).

22121301330 is an abundant number, since it is smaller than the sum of its proper divisors (37932249006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22121301330 is a wasteful number, since it uses less digits than its factorization.

22121301330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22121301330 its reverse (3310312122), we get a palindrome (25431613452).

The spelling of 22121301330 in words is "twenty-two billion, one hundred twenty-one million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 2663 4013 5326 7989 8026 12039 13315 15978 20065 23967 24078 26630 36117 39945 40130 47934 60195 61249 72234 79890 92299 119835 120390 122498 180585 183747 184598 239670 276897 306245 361170 367494 461495 551241 553794 612490 830691 918735 922990 1102482 1384485 1661382 1837470 2756205 2768970 4153455 5512410 8306910 10686619 21373238 32059857 53433095 64119714 96179571 106866190 160299285 192359142 245792237 320598570 480897855 491584474 737376711 961795710 1228961185 1474753422 2212130133 2457922370 3686883555 4424260266 7373767110 11060650665 22121301330